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3684974000 = 24531996973
BaseRepresentation
bin1101101110100100…
…0011110110110000
3100111210221002000112
43123221003312300
530021323132000
61405353440452
7160213522301
oct33351036660
910453832015
103684974000
111621087564
1286a110128
134695924b6
1426d58c7a8
15168799235
hexdba43db0

3684974000 has 80 divisors (see below), whose sum is σ = 9379325280. Its totient is φ = 1396396800.

The previous prime is 3684973997. The next prime is 3684974087. The reversal of 3684974000 is 4794863.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10487 + ... + 86486.

It is an arithmetic number, because the mean of its divisors is an integer number (117241566).

Almost surely, 23684974000 is an apocalyptic number.

It is an amenable number.

3684974000 is an abundant number, since it is smaller than the sum of its proper divisors (5694351280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3684974000 is a wasteful number, since it uses less digits than its factorization.

3684974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97015 (or 96999 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 3684974000 is about 60703.9866895083. The cubic root of 3684974000 is about 1544.5838016209.

The spelling of 3684974000 in words is "three billion, six hundred eighty-four million, nine hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 38000 96973 193946 387892 484865 775784 969730 1551568 1842487 1939460 2424325 3684974 3878920 4848650 7369948 7757840 9212435 9697300 12121625 14739896 18424870 19394600 24243250 29479792 36849740 38789200 46062175 48486500 73699480 92124350 96973000 147398960 184248700 193946000 230310875 368497400 460621750 736994800 921243500 1842487000 3684974000